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math.CO2020
A shuffle algebra point of view on operator-valued probability theory
Nicolas Gilliers
We extend the shuffle algebra perspective on scalar-valued non-commutative probability theory to the operator-valued case. Given an operator-valued probability space with an algebr…
math.PR2020★ 2 cited
Matricial approximations of higher dimensional master fields
Nicolas Gilliers
We study matricial approximations of master fields we constructed in a previous work. These approximations (in non-commutative distribution) are obtained by extracting blocks of a…
math-ph2020★ 1 cited
Quantum Holonomy Fields
Nicolas Gilliers
We investigate lattice and continuous quantum gauge theories on the Euclidean plane with a structure group that is replaced by a -algebra; non-commutative analogues of groups an…